maria bought two fans for rs. 3605. she sold one at the profit of 15% and the other at the loss of 9%. if maria got same amount for each fan ,find the cost price of each fan ??

If the two fans cost a and b, then

a+b = 3605
1.15a = 0.91b
a = 1592.50
b = 2012.5

check:
1592.50 + 2012.50 = 3605.00
she sold a for 15% profit, so 1.15*1592.50 = 1831.375
she sold b for a 9% loss, so .91*2012.50 = 1831.375

Let's assume the cost price of each fan is x.

According to the given information, Maria sold one fan at a profit of 15%. Profit = 15% of the cost price = (15/100) * x = 0.15x

She also sold the other fan at a loss of 9%. Loss = 9% of the cost price = (9/100) * x = 0.09x

The selling price of both fans is the same. So, we can write the equation:

(x + 0.15x) = (x - 0.09x) + 3605

Simplifying the equation, we get:

1.15x - 0.09x = 3605

1.06x = 3605

Dividing both sides by 1.06, we get:

x = 3605 / 1.06

x ≈ 3400

Therefore, the cost price of each fan is approximately Rs. 3400.

To find the cost price of each fan, let's assume the cost price of each fan as 'x' rupees.

Since Maria sold one fan at a profit of 15%, she received 15% more than its cost price, which means she sold the first fan for (x + 0.15x) = (1.15x) rupees.

Similarly, Maria sold the second fan at a loss of 9%, which means she received 9% less than its cost price, thus she sold the second fan for (x - 0.09x) = (0.91x) rupees.

According to the given information, Maria received the same amount for each fan. Therefore, we can write the equation:

(1.15x) + (0.91x) = 3605 rupees

Simplifying the equation:

2.06x = 3605

Dividing both sides by 2.06:

x = 3605 / 2.06

x ≈ 1750.49

Hence, the cost price of each fan is approximately Rs. 1750.49.

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